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Extensions 1→N→G→Q→1 with N=C5×C4.D4 and Q=C2

Direct product G=N×Q with N=C5×C4.D4 and Q=C2
dρLabelID
C10×C4.D480C10xC4.D4320,912

Semidirect products G=N:Q with N=C5×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.D4)⋊1C2 = D20.2D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4808-(C5xC4.D4):1C2320,375
(C5×C4.D4)⋊2C2 = D20.3D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4808+(C5xC4.D4):2C2320,376
(C5×C4.D4)⋊3C2 = D20.1D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4808-(C5xC4.D4):3C2320,373
(C5×C4.D4)⋊4C2 = D20⋊1D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4408+(C5xC4.D4):4C2320,374
(C5×C4.D4)⋊5C2 = D5×C4.D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4408+(C5xC4.D4):5C2320,371
(C5×C4.D4)⋊6C2 = M4(2).19D10φ: C2/C1 → C2 ⊆ Out C5×C4.D4808-(C5xC4.D4):6C2320,372
(C5×C4.D4)⋊7C2 = C5×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4404(C5xC4.D4):7C2320,954
(C5×C4.D4)⋊8C2 = C5×D4.9D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4804(C5xC4.D4):8C2320,956
(C5×C4.D4)⋊9C2 = C5×D4.3D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4804(C5xC4.D4):9C2320,972
(C5×C4.D4)⋊10C2 = C5×D4.4D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4804(C5xC4.D4):10C2320,973
(C5×C4.D4)⋊11C2 = C23.3D20φ: C2/C1 → C2 ⊆ Out C5×C4.D4408+(C5xC4.D4):11C2320,33
(C5×C4.D4)⋊12C2 = C5×C2≀C4φ: C2/C1 → C2 ⊆ Out C5×C4.D4404(C5xC4.D4):12C2320,156
(C5×C4.D4)⋊13C2 = C5×M4(2).8C22φ: trivial image804(C5xC4.D4):13C2320,914

Non-split extensions G=N.Q with N=C5×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.D4).1C2 = C23.4D20φ: C2/C1 → C2 ⊆ Out C5×C4.D4808-(C5xC4.D4).1C2320,34
(C5×C4.D4).2C2 = C5×C23.D4φ: C2/C1 → C2 ⊆ Out C5×C4.D4804(C5xC4.D4).2C2320,157

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